关于区间Opial型不等式的进一步推广  

Further Generalization of Opial Type Inequalities for Interval-valued Functions

作　　者：连俊勤 赵大方 LIAN Junqin;ZHAO Dafang(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《河南教育学院学报（自然科学版）》2023年第2期15-21,共7页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：国家冰川冻土沙漠科学数据中心开放基金(2021KF03);湖北省教育厅重点项目(D20192501)。

摘　　要：基于H lder不等式、Young不等式、区间数的gH-导数以及区间分析基本理论,得到了一些新的区间Opial型不等式,所得结论不仅改进了相关结果,也推广了若干经典的Opial型不等式,举例验证了所得结论。Using H lder’s inequality,Young’s inequality,the gH-derivative of interval number,and the basic theory of interval analysis,got some new Opial type inequalities for interval-valued functions.At the same time,obtained some generalizations and refinements of interval Opial type inequalities.Additionally,some examples were given to illustrate results.

关 键 词：Opial型不等式 区间值函数 gH-导数 切换点 拟范数 

分 类 号：O178[理学—数学]